Concept explainers
One long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280 m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero? (b) A particle with a charge of −2.00 μC is moving with a velocity of
(a)
Answer to Problem 30.14P
Explanation of Solution
Given info: Current flowing through the first wire is
Explanation:
Formula to calculate magnetic field due to first wire is,
Here,
Formula to calculate magnetic field due to second wire is,
Here,
Total magnetic field given by both wire is,
Substitute
Substitute
Substitute
Thus, the location where total magnetic field is zero is
Conclusion:
Therefore, the location where total magnetic field is zero is
(b)
Answer to Problem 30.14P
Explanation of Solution
Given info: charge on particle on particle is
Explanation:
Formula to calculate total magnetic field is,
Substitute
Formula to calculate force acting on particle is,
Here,
Substitute
Hence, magnitude of vector magnetic force is
Conclusion:
Therefore, magnitude of vector magnetic force is
(c)
Answer to Problem 30.14P
Explanation of Solution
Formula to calculate electric field is,
Here,
Substitute
Hence, magnitude of vector electric field is
Conclusion:
Therefore, magnitude of vector electric field is
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Chapter 30 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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